## Trigonometry (11th Edition) Clone

Published by Pearson

# Chapter 4 - Review Exercises - Page 191: 51c

#### Answer

75$^{\circ}$F

#### Work Step by Step

Since May is represented by $x=4$, we substitute $x=4$ in the equation to find the value of $t$: $t=60-30\cos\frac{x\pi}{6}$ $t=60-30\cos\frac{4\pi}{6}$ $t=60-30\cos\frac{2\pi}{3}$ $t=60-30(-\frac{1}{2})$ $t=60-15(-1)$ $t=60+15$ $t=75$ Therefore, the maximum afternoon temperature for the month of May is 75$^{\circ}$F.

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